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2248848120 = 233524177761
BaseRepresentation
bin1000011000001010…
…1011001011111000
312210201121022200010
42012002223023320
514101201114440
61011052341520
7106504615341
oct20602531370
95721538603
102248848120
11a54463972
125291748a0
1329aba567c
141749550c8
15d266a580
hex860ab2f8

2248848120 has 64 divisors (see below), whose sum is σ = 6774625440. Its totient is φ = 597196800.

The previous prime is 2248848109. The next prime is 2248848137. The reversal of 2248848120 is 218488422.

It is a congruent number.

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, 9961 + ... + 67800.

Almost surely, 22248848120 is an apocalyptic number.

2248848120 is a gapful number since it is divisible by the number (20) 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 2248848120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3387312720).

2248848120 is an abundant number, since it is smaller than the sum of its proper divisors (4525777320).

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

2248848120 is a wasteful number, since it uses less digits than its factorization.

2248848120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78016 (or 78012 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 39.

The square root of 2248848120 is about 47422.0214668249. The cubic root of 2248848120 is about 1310.1470456307.

The spelling of 2248848120 in words is "two billion, two hundred forty-eight million, eight hundred forty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 241 482 723 964 1205 1446 1928 2410 2892 3615 4820 5784 7230 9640 14460 28920 77761 155522 233283 311044 388805 466566 622088 777610 933132 1166415 1555220 1866264 2332830 3110440 4665660 9331320 18740401 37480802 56221203 74961604 93702005 112442406 149923208 187404010 224884812 281106015 374808020 449769624 562212030 749616040 1124424060 2248848120