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70408224 = 2533194289
BaseRepresentation
bin1000011001001…
…01100000100000
311220111002221000
410030211200200
5121011030344
610553032000
71513313535
oct414454040
9156432830
1070408224
113681a817
121b6b5600
1311782593
1494cad8c
1562aba69
hex4325820

70408224 has 96 divisors (see below), whose sum is σ = 216216000. Its totient is φ = 22228992.

The previous prime is 70408207. The next prime is 70408241. The reversal of 70408224 is 42280407.

It is an interprime number because it is at equal distance from previous prime (70408207) and next prime (70408241).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14272 + ... + 18560.

It is an arithmetic number, because the mean of its divisors is an integer number (2252250).

Almost surely, 270408224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70408224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108108000).

70408224 is an abundant number, since it is smaller than the sum of its proper divisors (145807776).

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

70408224 is a wasteful number, since it uses less digits than its factorization.

70408224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4327 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 70408224 is about 8390.9608508204. The cubic root of 70408224 is about 412.9281241013.

The spelling of 70408224 in words is "seventy million, four hundred eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 4289 5472 8208 8578 12867 16416 17156 25734 34312 38601 51468 68624 77202 81491 102936 115803 137248 154404 162982 205872 231606 244473 308808 325964 411744 463212 488946 617616 651928 733419 926424 977892 1235232 1303856 1466838 1852848 1955784 2200257 2607712 2933676 3705696 3911568 4400514 5867352 7823136 8801028 11734704 17602056 23469408 35204112 70408224