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102220440 = 23357731667
BaseRepresentation
bin1100001011111…
…00001010011000
321010100100002020
412011330022120
5202132023230
614050534440
72350600530
oct605741230
9233310066
10102220440
1152778803
122a297420
131824038a
14d80c4c0
158e92810
hex617c298

102220440 has 128 divisors (see below), whose sum is σ = 355484160. Its totient is φ = 23030784.

The previous prime is 102220403. The next prime is 102220451. The reversal of 102220440 is 44022201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60487 + ... + 62153.

It is an arithmetic number, because the mean of its divisors is an integer number (2777220).

Almost surely, 2102220440 is an apocalyptic number.

102220440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102220440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177742080).

102220440 is an abundant number, since it is smaller than the sum of its proper divisors (253263720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102220440 is a wasteful number, since it uses less digits than its factorization.

102220440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 102220440 is about 10110.4124544946. The cubic root of 102220440 is about 467.5692215458.

Adding to 102220440 its reverse (44022201), we get a palindrome (146242641).

The spelling of 102220440 in words is "one hundred two million, two hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 73 84 105 120 140 146 168 210 219 280 292 365 420 438 511 584 730 840 876 1022 1095 1460 1533 1667 1752 2044 2190 2555 2920 3066 3334 4088 4380 5001 5110 6132 6668 7665 8335 8760 10002 10220 11669 12264 13336 15330 16670 20004 20440 23338 25005 30660 33340 35007 40008 46676 50010 58345 61320 66680 70014 93352 100020 116690 121691 140028 175035 200040 233380 243382 280056 350070 365073 466760 486764 608455 700140 730146 851837 973528 1216910 1400280 1460292 1703674 1825365 2433820 2555511 2920584 3407348 3650730 4259185 4867640 5111022 6814696 7301460 8518370 10222044 12777555 14602920 17036740 20444088 25555110 34073480 51110220 102220440